## AJACW22 2 years ago The ages of a group of women are approximately normally distributed with a mean of 48 years and a standard deviation of 6 years. One woman is randomly selected from the group, and her age is observed. A. Find the probability that her age will fall between 54 and 60 years is_____. B. Find the probability that her age will fall between 47 and 52 years is_____. C. Find the probability that her age will be less than 35 is_____. D. Find the probability that her age will exceed 40 years is_____.

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1. amistre64

are you spose to use an exact result, or an empirical rule approximation?

2. amistre64

also, are you using a ti83, or stat program, or do you have to use the tables in the book?

3. AJACW22

Tables in the book

4. amistre64

tables bite .... different authors have different formats that they feel are better :/ in any case, the process is simple enough if you can read the table

5. amistre64

find a z score, look it up in the table, work the results$Z=\frac{X-mean}{sd}$

6. amistre64

since your mean = 48, and sd = 6 finding the z scores for the given info is simple enough

7. amistre64

A. Find the probability that her age will fall between 54 and 60 years z1 = (54-48)/6 ; z2 = (60-48)/6 do you know how to read your tables?

8. AJACW22

Yes

9. amistre64

then the rest of it is working out the values from the table to address the given situations.

10. AJACW22

ok thanks for you help

11. amistre64

good luck :)

12. AJACW22

By the way the last two quetions, would you use 35 or 34 if it is less than, and 36 if it is greater tahn?

13. amistre64

C. Find the probability that her age will be less than 35 is_____. x = 35, then find the area to the left of z D. Find the probability that her age will exceed 40 years is_____. x = 40, then find the area to the right of z